478312137 has 24 divisors (see below), whose sum is σ = 728357760. Its totient is φ = 301635360.

The previous prime is 478312123. The next prime is 478312139. The reversal of 478312137 is 731213874.

It is not a de Polignac number, because 478312137 - 2¹⁵ = 478279369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (478312139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138688 + ... + 142094.

It is an arithmetic number, because the mean of its divisors is an integer number (30348240).

Almost surely, 2^478312137 is an apocalyptic number.

It is an amenable number.

478312137 is a deficient number, since it is larger than the sum of its proper divisors (250045623).

478312137 is a wasteful number, since it uses less digits than its factorization.

478312137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4250 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 478312137 is about 21870.3483511352. The cubic root of 478312137 is about 782.0547059362.

The spelling of 478312137 in words is "four hundred seventy-eight million, three hundred twelve thousand, one hundred thirty-seven".